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141200430 = 2357838101
BaseRepresentation
bin10000110101010…
…00110000101110
3100211200201120120
420122220300232
5242121403210
622002225410
73333120030
oct1032506056
9324621516
10141200430
1172781a78
123b355266
132333a867
1414a77c50
15c5e2270
hex86a8c2e

141200430 has 64 divisors (see below), whose sum is σ = 392007168. Its totient is φ = 31881600.

The previous prime is 141200429. The next prime is 141200431. The reversal of 141200430 is 34002141.

It is an interprime number because it is at equal distance from previous prime (141200429) and next prime (141200431).

It is a super-2 number, since 2×1412004302 = 39875122864369800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141200431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13380 + ... + 21480.

It is an arithmetic number, because the mean of its divisors is an integer number (6125112).

Almost surely, 2141200430 is an apocalyptic number.

141200430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141200430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196003584).

141200430 is an abundant number, since it is smaller than the sum of its proper divisors (250806738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141200430 is a wasteful number, since it uses less digits than its factorization.

141200430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8201.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 141200430 is about 11882.7787154352. The cubic root of 141200430 is about 520.7292898235.

Adding to 141200430 its reverse (34002141), we get a palindrome (175202571).

The spelling of 141200430 in words is "one hundred forty-one million, two hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2490 2905 3486 5810 8101 8715 16202 17430 24303 40505 48606 56707 81010 113414 121515 170121 243030 283535 340242 567070 672383 850605 1344766 1701210 2017149 3361915 4034298 4706681 6723830 9413362 10085745 14120043 20171490 23533405 28240086 47066810 70600215 141200430